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Finding the Third Proportional to 195,272 and 312,563

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Solution

The third proportional to 195,272 and 312,563 is: 500,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,272 : 312,563 = 312,563 : x
  2. Step 2: Convert to fraction form
    195,272/312,563 = 312,563/x
  3. Step 3: Cross multiply
    195,272x = 312,563 × 312,563
  4. Step 4: Simplify right side
    195,272x = 97,695,628,969
  5. Step 5: Solve for x
    x = 97,695,628,969/195,272
  6. Step 6: Final answer
    x = 500,305.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.